18 ideas
13591 | Quantified modal logic collapses if essence is withdrawn [Quine] |
13011 | New axioms are being sought, to determine the size of the continuum [Maddy] |
13013 | The Axiom of Extensionality seems to be analytic [Maddy] |
13014 | Extensional sets are clearer, simpler, unique and expressive [Maddy] |
13021 | The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy] |
13022 | Infinite sets are essential for giving an account of the real numbers [Maddy] |
13023 | The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy] |
13024 | Efforts to prove the Axiom of Choice have failed [Maddy] |
13025 | Modern views say the Choice set exists, even if it can't be constructed [Maddy] |
13026 | A large array of theorems depend on the Axiom of Choice [Maddy] |
13019 | The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy] |
13018 | Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy] |
13590 | Essences can make sense in a particular context or enquiry, as the most basic predicates [Quine] |
8483 | Necessity is relative to context; it is what is assumed in an inquiry [Quine] |
13589 | Possible worlds are a way to dramatise essentialism, and yet they presuppose essentialism [Quine] |
13588 | A rigid designator (for all possible worlds) picks out an object by its essential traits [Quine] |
13592 | Beliefs can be ascribed to machines [Quine] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |